The students in Ms. Douglas’ class worked so hard this year that she has planned a surprise, end-of -year trip for them to a local amusement park. The school principal allows Ms. Douglas to spend a budget of $500 on the trip.
So far she knows : A coach bus costs $180 to transport them to and from the park Price of admission to the park is $15 per person

Part A : Write an inequality that describes that how many students Ms. Douglas can bring on the trip. Define the variable

Part B: Solve the inequality and explain the solution in the context o the problem

A. 500 = 180 + 15x

So Ms.Douglas has a budget of $500 and she is going to spend $180 going to and from school on a bus. 180 is your constant. It is $15 per person to enter the gate of the amusement park and 15 is your variable.

So 500 = 180 +15x

Step-by-step explanation:

B. 500 = 180 + 15x

320 = 15x

x = 21.333333

but since we are talking about people here Ms.Douglas can only take 21 people

I hope this helps

because linear equations are a lot simpler than quadratics equations, and linear equations formula is a lot easier to memorize. that's why i think they're harder.